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Finding the Fourth Proportional to 22,164.49, 30,587.25 and 13,210.48

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Solution

The fourth proportional to 22,164.49, 30,587.25 and 13,210.48 is: 18,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.49 : 30,587.25 = 13,210.48 : x
  2. Step 2: Convert to fraction form
    22,164.49/30,587.25 = 13,210.48/x
  3. Step 3: Cross multiply
    22,164.49x = 30,587.25 × 13,210.48
  4. Step 4: Simplify right side
    22,164.49x = 404,072,254.38
  5. Step 5: Solve for x
    x = 404,072,254.38/22,164.49
  6. Step 6: Final answer
    x = 18,230.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.